Talk:The Music of the Primes

A prime product

Is it my eyesight or a typo that makes the alleged first explicit formula to output all the primes, using 26 integer variables, of 1976 (p199-200 GB 2003 edition) seem to be:

(K+2) [an integer] multiplied by [opening curly bracket] {an expression with no division and with only positive integer powers [and thus an integer]} [closing curly bracket] and so the product of two integers?--SilasW (talk) 22:22, 3 February 2010 (UTC)[reply]

I haven't seen the book but it must refer to the formula at Formula for primes#Formula based on a system of Diophantine equations which is of form:

(k+2)(1-\alpha _{0}^{2}-\alpha _{1}^{2}-\cdots -\alpha _{13}^{2})>0

.

The point is that the expression in the second parantheses is never above 1 and it is 1 if and only if all α_i are 0, and in that case (k+2)×(1-0-0-...-0) = k+2 is prime. So one of the factors in the factorization is 1 and the other is the number itself which is an allowed factorization for a prime. PrimeHunter (talk) 23:00, 3 February 2010 (UTC)[reply]

Electronic Music

Wouldn't the second paragraph of this article be better off as its own article, maybe linked by a disambiguation? Of course, it may not be worth its own article, but it could at least be removed from this page. 173.9.121.145 (talk) 18:17, 1 March 2010 (UTC)[reply]

Footnotes

@David Eppstein: I apologize for the inconvenience, I have been importing short descriptions on science and math books and tagging the pages as unreferenced or single sourced and sometimes as lacking footnotes as I go through. I plan on working on a lot of these articles and was mostly making a list of which ones need the most help. Footlessmouse (talk) 07:31, 28 November 2020 (UTC)[reply]

Sure. I think this one could well be significantly expanded, and that if that is done properly (based on its references) then the footnotes should follow. Based on that, I just added the {{Mathematics-lit-stub}} stub tag, which I think does the job more unobtrusively than the more footnotes one. —David Eppstein (talk) 07:34, 28 November 2020 (UTC)[reply]

@David Eppstein: Okay, I have done the same for another four math articles that I tagged, one of which was already marked as a stub. A fifth only had one source and so I left it for now. Thanks! Footlessmouse (talk) 07:53, 28 November 2020 (UTC)[reply]